The B-field soft theorem and its unification with the graviton and dilaton
arXiv:1706.02961 · doi:10.1007/JHEP10(2017)017
Abstract
In theories of Einstein gravity coupled with a dilaton and a two-form, a soft theorem for the two-form, known as the Kalb-Ramond B-field, has so far been missing. In this work we fill the gap, and in turn formulate a unified soft theorem valid for gravitons, dilatons and B-fields in any tree-level scattering amplitude involving the three massless states. The new soft theorem is fixed by means of on-shell gauge invariance and enters at the subleading order of the graviton's soft theorem. In contrast to the subsubleading soft behavior of gravitons and dilatons, we show that the soft behavior of B-fields at this order cannot be fully fixed by gauge invariance. Nevertheless, we show that it is possible to establish a gauge invariant decomposition of the amplitudes to any order in the soft expansion. We check explicitly the new soft theorem in the bosonic string and in Type II superstring theories, and furthermore demonstrate that, at the next order in the soft expansion, totally gauge invariant terms appear in both string theories which cannot be factorized into a soft theorem.
arXiv comment27 pages, 1 figure
References in corpus (30)
- Perturbative Quantum Gravity as a Double Copy of Gauge Theory
- On BMS Invariance of Gravitational Scattering
- What is the Simplest Quantum Field Theory?
- Asymptotic Symmetries of Yang-Mills Theory
- Low-Energy Behavior of Gluons and Gravitons from Gauge Invariance
- On Loop Corrections to Subleading Soft Behavior of Gluons and Gravitons
- Constraining subleading soft gluon and graviton theorems
- More on Soft Theorems: Trees, Loops and Strings
- Tree-level Amplitudes in the Nonlinear Sigma Model
- Can scalars have asymptotic symmetries?
- Subleading Soft Factor for String Disk Amplitudes
- New soft theorems for the gravity dilaton and the Nambu-Goldstone dilaton at subsubleading order
- On four-point interactions in massless higher spin theory in flat space
- Soft Theorems in Superstring Theory
- Adler's Zero and Effective Lagrangians for Nonlinearly Realized Symmetry
- On the soft limit of closed string amplitudes with massive states
- Exploring soft constraints on effective actions
- On the soft limit of open string disk amplitudes with massive states
- Subsubleading soft theorems of gravitons and dilatons in the bosonic string
- Soft behavior of a closed massless state in superstring and universality in the soft behavior of the dilaton
- Double-soft behavior of the dilaton of spontaneously broken conformal invariance
- On single and double soft behaviors in NLSM
- On the exactness of soft theorems
- Double-soft behavior for scalars and gluons from string theory
- Soft Theorems from String Theory
- Soft theorems from anomalous symmetries
- Factorized soft graviton theorems at loop level
- Soft theorem for the graviton, dilaton and the Kalb-Ramond field in the bosonic string
- Spontaneously broken conformal invariance in observables
- A Note on Soft Factors for Closed String Scattering
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- Can scalars have asymptotic symmetries?
- Scattering Amplitudes from Soft Theorems and Infrared Behavior
- Asymptotic Symmetries in -Form Theories
- On the Lagrangian formulation of the double copy to cubic order
- Tree level amplitudes from soft theorems
- Hidden Conformal Symmetry in Tree-Level Graviton Scattering
- String Memory Effect
- Multiloop Soft Theorem for Gravitons and Dilatons in the Bosonic String
- Universality of soft theorem from locality of soft vertex operators
- Infrared and Holographic Aspects of the -Matrix in Gauge Theory and Gravity
- Tree and -loop fundamental BCJ relations from soft theorems
- Soft-Theorems for Scalar Particles: The Dilatons Story
- S-matrix element of two R-R and one NS states